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Finding the Fourth Proportional to 3,197.98, 4,410.93 and 2,135.22

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Solution

The fourth proportional to 3,197.98, 4,410.93 and 2,135.22 is: 2,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.98 : 4,410.93 = 2,135.22 : x
  2. Step 2: Convert to fraction form
    3,197.98/4,410.93 = 2,135.22/x
  3. Step 3: Cross multiply
    3,197.98x = 4,410.93 × 2,135.22
  4. Step 4: Simplify right side
    3,197.98x = 9,418,305.95
  5. Step 5: Solve for x
    x = 9,418,305.95/3,197.98
  6. Step 6: Final answer
    x = 2,945.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.